American democratic thought, pointed up the relation between the Protestant movement in this country and the development of a social religion, which he called the American Democratic Faith.

I feel compelled to write this because I am greatly concerned with the problem of community growth rate and the relation between types of growth in a town such as East Greenwich.

Assuming thermal equilibrium between the anode surface and the transpiring argon, the gas enthalpy rise through the anode was calculated according to the relation Af whereby the specific heat of argon was taken as Af.

The relation between osmotic pressure and the Gibbs function may also be developed in an analogous way.

The feeding-pain antagonism seems to be based on this reciprocal relation between the tropho- and ergotropic systems.

A parallel function for philosophy is the study of the relation between perceptions experientially received and conceptions logically formed.

There is general agreement also that sex union between husbands and wives as an expression of mutual affection without relation to procreation is right ''.

The crux of ecumenical advance is an even more personalized matter than the relation between congregations in the same community.

When there are only two means to compare, the t-test and the ANOVA F-test are equivalent ; the relation between ANOVA and t is given by F = t < sup > 2 </ sup >.

This was a basic number to understand, 7 times 13, a close relation conceived between natural phenomena, the underworld and the cycles of the heavens.

Martin Heidegger argued that the relation between the subject and object is ambiguous, as is the relation of mind and body, and part and whole.

Related to this is lexicostatistics, which attempts to determine the degree of relation between a set of languages by comparing the percentage of basic vocabulary ( words like " I ", " you ", " heart ", " stone ", " two ", " be ", " and ") they share in common.

This is false, they actually represent the relation between width an height.

For such an online algorithm, a recurrence relation is required between quantities from which the required statistics can be calculated in a numerically stable fashion.

The relation " x is even, y is odd " between a pair ( x, y ) of integers is antisymmetric:

His work in this specific field ( based on the criss-crossing between literary criticism, bibliography, and sociocultural history ) is connected to broader historiographical and methodological interests which deal with the relation between history and other disciplines: philosophy, sociology, anthropology.

Since the relation between changes in Gibbs free energy ( G ), the enthalpy ( H ) and the entropy is

" The black race of Africa are inferior to the white man in point of intellect – better calculated in physical structure to undergo drudgery and hardship – standing, as they do, many degrees lower in the scale of gradation that expresses the relative relation between God and all that he has created than the white man.

He believed that animals were able to infer the relation between cause and effect in the same way that humans do: through learned expectations.

A case can be made that discriminatory lines came to be drawn more sharply under Athenian democracy than before or elsewhere, in particular in relation to woman and slaves, as well as in the line between citizens and non-citizens.

He was a key figure in the Danish policies of territorial expansion in the Baltic Sea, Europeanization in close relationship with the Holy See, and reform in the relation between the Church and the public.

For very large distances, cosmological redshift complicates the relation between absolute and apparent magnitude, and an additional k correction might be required.

On Amiga 1000 ( and first Amiga 500 and Amiga 2000 model ), the power LED had no relation to the filter's status, a wire needed to be manually soldered between pins on the sound chip to disable the filter.

In addition, no two Rhode Island communities are identical in relation to their over-all financial condition.

The statistical analyses of achievement in relation to anxiety and teaching methods and the interactions of the two are presented in Tables 3 and 4.

The usual order relation ≤ on the real numbers is antisymmetric: if for two real numbers x and y both inequalities x ≤ y and y ≤ x hold then x and y must be equal.

* Binary relation, a mathematical relation involving two elements

More generally, a binary relation between two sets A and B is a subset of.

With the conversion of Sergius Paulus, Paul begins to gain prominence over Barnabas from the point where the name " Paul ," his Roman name, is substituted for " Saul " ( 13: 9 ); instead of " Barnabas and Saul " as heretofore ( 11: 30 ; 12: 25 ; 13: 2, 7 ) we now read " Paul and Barnabas " ( 13: 43, 46, 50 ; 14: 20 ; 15: 2, 22, 35 ); only in 14: 14 and 15: 12, 25 does Barnabas again occupy the first place, in the first passage with recollection of 14: 12, in the last two, because Barnabas stood in closer relation to the Jerusalem church than Paul.

Being-taller-than is a relation between the two structures.

Given that Bozizé accuses Sudan of supporting the UFDR rebels who are actively fighting the Central African Government, the relation between the two countries has remained good.

Unlike other C-suite positions, which tend to be defined according to commonly designated responsibilities across most companies, the COO job tends to be defined in relation to the specific CEO with whom he / she works, given the close working relationship of these two individuals.

A natural transformation is a relation between two functors.

The relation he there gives of the miracle is as follows: " On the nones ( or 7th ) of May, about the third hour, ( or nine in the morning ,) a vast luminous body, in the form of a cross, appeared in the heavens, just over the holy Golgotha, reaching as far as the holy mount of Olivet, ( that is, almost two English miles in length ,) seen not by one or two persons, but clearly and evidently by the whole city.

All these theories centre on two battles in Estonia, Fellin ( 1208 ) or Lyndanisse ( 1219 ), and thus try to explain the origin in relation to the tale brought forth over 300 years after the event.

Although various notations are used throughout the literature to denote that two elements a and b of a set are equivalent with respect to an equivalence relation R, the most common are " a ~ b " and " a ≡ b ", which are used when R is the obvious relation being referenced, and variations of " a ~< sub > R </ sub > b ", " a ≡< sub > R </ sub > b ", or " aRb ".

This is an equivalence relation, which partitions the integers into two equivalence classes, the even and odd integers.

However, if the approximation is defined asymptotically, for example by saying that two functions f and g are approximately equal near some point if the limit of f-g is 0 at that point, then this defines an equivalence relation.

If ~ and ≈ are two equivalence relations on the same set S, and a ~ b implies a ≈ b for all a, b ∈ S, then ≈ is said to be a coarser relation than ~, and ~ is a finer relation than ≈.

For example, an equivalence relation with exactly two infinite equivalence classes is an easy example of a theory which is ω-categorical, but not categorical for any larger cardinal number.

This relation gives rise to exactly two equivalence classes: one class consisting of all even numbers, and the other consisting of all odd numbers.

In other words, if is an equivalence relation on a set, and and are two elements of, then these statements are equivalent: